High School

Which set of numbers is correctly ordered from greatest to least?

A. 221, 30, 7.36, 3.16

B. 75, 7.36, 221, 3.16

C. 3.16, 7.36, 30, 221

D. 30, 7.36, 3.16, 221

Answer :

Answer:

Step-by-step explanation:

Here is the corrected question and options:

Option 1:

[tex]7\frac{1}{3} , \frac{221}{30} , 7.36, 3.16\sqrt{2e}[/tex]

Option 2:

[tex]7\frac{1}{3} , 7.36 , \frac{221}{30} , 3.16\sqrt{2e}[/tex]

Option 3:

[tex]3.16\sqrt{2e}, 7.36 , \frac{221}{30} , 7\frac{1}{3}[/tex]

Option 4:

[tex]3.16\sqrt{2e}, \frac{221}{30} , 7.36 , 7\frac{1}{3}[/tex]

Solution:

Lets write each of the above given numbers in a simplified form:

[tex]7\frac{1}{3}[/tex]

Simplify this by converting it into a decimal form:

This becomes:

(3*7+1) / 3 = (21 + 1) / 3 = 22/3 = 7.333333

So

[tex]7\frac{1}{3}[/tex] = 7.3

[tex]\frac{221}{30}[/tex]

Simplify this by converting it into a decimal form:

This becomes:

221/30 = 7.3666666667

So,

[tex]\frac{221}{30}[/tex] = 7.367

[tex]7.36[/tex]

This number comes with a bar sign on .36 which means that the number has a non terminating repeating decimal expansion as 7.3636363636...

So after rounding it off this becomes:

7.36

[tex]3.16\sqrt{2e}[/tex]

Simplify this by converting it into a decimal form:

The value of e = 2.718

This becomes:

3.16 [tex]\sqrt{2*2.718}[/tex]

= 3.16 (√5.436)

= 3.16 * 2.331523

= 7.3679949818

= 7.368

So

[tex]3.16\sqrt{2e}[/tex] = 7.368

7.367995

Now we get the numbers in decimal form:

[tex]7\frac{1}{3}[/tex] = 7.333333 = 7.3

[tex]\frac{221}{30}[/tex] = 7.3666666667 = 7.367

7.36 = 7.3636363636

[tex]3.16\sqrt{2e}[/tex] = 7.3679949818 = 7.368

Now lets order the numbers from greatest to least:

[tex]3.16\sqrt{2e}[/tex]

[tex]\frac{221}{30}[/tex]

7.36

[tex]7\frac{1}{3}[/tex]

So the correct option is:

Option 4

[tex]3.16\sqrt{2e}, \frac{221}{30} , 7.36 , 7\frac{1}{3}[/tex]

The correctly ordered set from greatest to least is: 221, 20, 7.36, 3.1617, 3.30, 3.16.

The set of numbers appears to be written in a somewhat confusing manner with various symbols and decimals. To correctly order them from greatest to least, let's first identify the actual numbers in the set and then arrange them in the correct order.

The set appears to contain the following numbers:

3.30

7.36

3.16

221

3.1617

20

Now, let's order them from greatest to least:

221 (largest)

20

7.36

3.1617

3.30

3.16 (smallest)

So, the correctly ordered set from greatest to least is: 221, 20, 7.36, 3.1617, 3.30, 3.16.

It's important to note that the symbols like ":" and "Ve" do not appear to represent numbers in this context, and they have been excluded from the ordering. The order is based on the numerical values provided in the set, with decimals taken into account for proper ordering.

For more such question ordered set visit:

https://brainly.com/question/10658344

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